(X^2+5c-1)(5x^2-6x+1)=0

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Solution for (X^2+5c-1)(5x^2-6x+1)=0 equation: 


Simplifying
(X2 + 5c + -1)(5x2 + -6x + 1) = 0

Reorder the terms:
(-1 + X2 + 5c)(5x2 + -6x + 1) = 0

Reorder the terms:
(-1 + X2 + 5c)(1 + -6x + 5x2) = 0

Multiply (-1 + X2 + 5c) * (1 + -6x + 5x2)
(-1(1 + -6x + 5x2) + X2(1 + -6x + 5x2) + 5c * (1 + -6x + 5x2)) = 0
((1 * -1 + -6x * -1 + 5x2 * -1) + X2(1 + -6x + 5x2) + 5c * (1 + -6x + 5x2)) = 0
((-1 + 6x + -5x2) + X2(1 + -6x + 5x2) + 5c * (1 + -6x + 5x2)) = 0
(-1 + 6x + -5x2 + (1 * X2 + -6x * X2 + 5x2 * X2) + 5c * (1 + -6x + 5x2)) = 0
(-1 + 6x + -5x2 + (1X2 + -6xX2 + 5x2X2) + 5c * (1 + -6x + 5x2)) = 0
(-1 + 6x + -5x2 + 1X2 + -6xX2 + 5x2X2 + (1 * 5c + -6x * 5c + 5x2 * 5c)) = 0
(-1 + 6x + -5x2 + 1X2 + -6xX2 + 5x2X2 + (5c + -30cx + 25cx2)) = 0

Reorder the terms:
(-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2) = 0
(-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2) = 0

Solving
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 1 + 5x2X2 = 0 + 1

Reorder the terms:
-1 + 1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 0 + 1
1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 0 + 1

Combine like terms: 0 + 1 = 1
1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 1

Add '-5c' to each side of the equation.
1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + -5c + 5x2X2 = 1 + -5c

Reorder the terms:
1X2 + 5c + -5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 1 + -5c

Combine like terms: 5c + -5c = 0
1X2 + 0 + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 1 + -5c
1X2 + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 1 + -5c

Add '30cx' to each side of the equation.
1X2 + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 30cx + 5x2X2 = 1 + -5c + 30cx

Reorder the terms:
1X2 + -30cx + 30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 1 + -5c + 30cx

Combine like terms: -30cx + 30cx = 0
1X2 + 0 + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 1 + -5c + 30cx
1X2 + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 1 + -5c + 30cx

Add '-25cx2' to each side of the equation.
1X2 + 25cx2 + 6x + -6xX2 + -5x2 + -25cx2 + 5x2X2 = 1 + -5c + 30cx + -25cx2

Reorder the terms:
1X2 + 25cx2 + -25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 1 + -5c + 30cx + -25cx2

Combine like terms: 25cx2 + -25cx2 = 0
1X2 + 0 + 6x + -6xX2 + -5x2 + 5x2X2 = 1 + -5c + 30cx + -25cx2
1X2 + 6x + -6xX2 + -5x2 + 5x2X2 = 1 + -5c + 30cx + -25cx2

Add '-6x' to each side of the equation.
1X2 + 6x + -6xX2 + -5x2 + -6x + 5x2X2 = 1 + -5c + 30cx + -25cx2 + -6x

Reorder the terms:
1X2 + 6x + -6x + -6xX2 + -5x2 + 5x2X2 = 1 + -5c + 30cx + -25cx2 + -6x

Combine like terms: 6x + -6x = 0
1X2 + 0 + -6xX2 + -5x2 + 5x2X2 = 1 + -5c + 30cx + -25cx2 + -6x
1X2 + -6xX2 + -5x2 + 5x2X2 = 1 + -5c + 30cx + -25cx2 + -6x

Add '5x2' to each side of the equation.
1X2 + -6xX2 + -5x2 + 5x2 + 5x2X2 = 1 + -5c + 30cx + -25cx2 + -6x + 5x2

Combine like terms: -5x2 + 5x2 = 0
1X2 + -6xX2 + 0 + 5x2X2 = 1 + -5c + 30cx + -25cx2 + -6x + 5x2
1X2 + -6xX2 + 5x2X2 = 1 + -5c + 30cx + -25cx2 + -6x + 5x2

Reorder the terms:
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 1 + -5c + 30cx + -25cx2 + -6x + 5x2 + -1 + 5c + -30cx + 25cx2 + 6x + -5x2

Reorder the terms:
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 1 + -1 + -5c + 5c + 30cx + -30cx + -25cx2 + 25cx2 + -6x + 6x + 5x2 + -5x2

Combine like terms: 1 + -1 = 0
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 0 + -5c + 5c + 30cx + -30cx + -25cx2 + 25cx2 + -6x + 6x + 5x2 + -5x2
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = -5c + 5c + 30cx + -30cx + -25cx2 + 25cx2 + -6x + 6x + 5x2 + -5x2

Combine like terms: -5c + 5c = 0
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 0 + 30cx + -30cx + -25cx2 + 25cx2 + -6x + 6x + 5x2 + -5x2
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 30cx + -30cx + -25cx2 + 25cx2 + -6x + 6x + 5x2 + -5x2

Combine like terms: 30cx + -30cx = 0
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 0 + -25cx2 + 25cx2 + -6x + 6x + 5x2 + -5x2
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = -25cx2 + 25cx2 + -6x + 6x + 5x2 + -5x2

Combine like terms: -25cx2 + 25cx2 = 0
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 0 + -6x + 6x + 5x2 + -5x2
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = -6x + 6x + 5x2 + -5x2

Combine like terms: -6x + 6x = 0
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 0 + 5x2 + -5x2
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-1 + 1X2 + 5c + -30cx + 25cx2 + 6x + -6xX2 + -5x2 + 5x2X2 = 0

The solution to this equation could not be determined.

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